Problem

Source: Tournament of Towns, Fall 2002, Junior A Level, P1

Tags: combinatorics proposed, combinatorics



There are $2002$ employees in a bank. All the employees came to celebrate the bank's jubilee and were seated around one round table. It is known that the difference in salaries of any two adjacent employees is $2$ or $3$ dollars. Find the maximal difference in salaries of two employees, if it is known all salaries are different.